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Default AVERAGE IF with multiple conditions

I have 5 columns of data and need a a formula that will allow me to calculate
the following:

Average the values of column E for all instances where column A = "P1" and
column B = "Red" and Column D = "20". I.e. the average will only be
calculated for the lines in column E where the above conditions have been met
in the other columns, as mentioned.
 
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